Answer:
a) 59.87%
Step-by-step explanation:
Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.
The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
The average temperature of the City of Van Nuys is 23 degrees. The z score is
![z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B23-23%2C5%7D%7B2%7D%20%3D-0.25)
P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%
Answer : 19.6cm
I hope this helps you! Have a good day!
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